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Finding the Fourth Proportional to 6,536.56, 9,798.69 and 3,246.49

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Solution

The fourth proportional to 6,536.56, 9,798.69 and 3,246.49 is: 4,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.56 : 9,798.69 = 3,246.49 : x
  2. Step 2: Convert to fraction form
    6,536.56/9,798.69 = 3,246.49/x
  3. Step 3: Cross multiply
    6,536.56x = 9,798.69 × 3,246.49
  4. Step 4: Simplify right side
    6,536.56x = 31,811,349.10
  5. Step 5: Solve for x
    x = 31,811,349.10/6,536.56
  6. Step 6: Final answer
    x = 4,866.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.